Merced Montesinos
Professor of Physics

National Researcher of the National Research Council of Mexico. Membership: Level 3 (highest possible level)

Ph.D., Cinvestav, 1997
Research Specialty: Quantum Gravity, Gauge Theories, Constrained Systems, Canonical Quantization, Mathematical Physics.

 

I am currently interested in the foundations of classical and quantum dynamics of physical systems from the Lagrangian and Hamiltonian viewpoints, particularly with some issues involved in the classical and quantum dynamics of the degrees of freedom of gravity. These latter issues involve-but are not limited to-the study of topological field theories of the BF type in various spacetime dimensions, reformulations of general relativity as a constrained BF theory, the problem of time in general relativity, quantum gravity in the loop quantum gravity approach, etc.


Recent Publications:

  1. Miguel Á. García-Ariza, M. Montesinos, and G.F. Torres del Castillo, Geometric thermodynamics: black holes and the meaning of the scalar curvature, download
  2. Bogar Díaz, Daniel Higuita, and M. Montesinos, Lagrangian approach to the physical degree of freedom count, download
  3. M. Celada and M. Montesinos, Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter, Class. Quantum Grav. 29, 205010 (2012) [15 pages] download
  4. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and matter fields, Phys. Rev. D 85, 064011 (2012) [8 pages] download
  5. M. Montesinos and M. Velázquez, Equivalent and alternative forms for BF gravity with Immirzi parameter, Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA) 7, 103 (2011) [13 pages] download
  6. A. Gallardo and M. Montesinos, The boundary field theory induced by the Chern-Simons theory, J. Phys. A: Math. Theor. 44, 135402 (2011) download
  7. R. Capovilla, M. Montesinos, and M. Velázquez, Minimally modified self-dual 2-forms gravity, Class. Quantum Grav. 27, 145011 (2010) download
  8. L. Liu, M. Montesinos, and A. Perez, Topological limit of gravity admitting an SU(2) connection formulation, Phys. Rev. D 81, 064033 (2010) download
  9. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and cosmological constant, Phys. Rev. D 81, 044033 (2010) download
  10. V. Cuesta, M. Montesinos, M. Velázquez, and J.D. Vergara, Topological field theories in n-dimensional spacetimes and Cartan's equations, Phys. Rev. D 78, 064046 (2008) download
  11. M. Montesinos and A. Perez, Two-dimensional topological field theories coupled to four-dimensional BF theory, Phys. Rev. D 77, 104020 (2008) download
  12. A. Pérez-Lorenzana, M. Montesinos, and T. Matos, Unification of cosmological scalar fields, Phys. Rev. D 77, 063507 (2008) download
  13. V. Cuesta and M. Montesinos, Cartan's equations define a topological field theory of the BF type, Phys. Rev. D 76, 104004 (2007) download
  14. V. Cuesta, M. Montesinos, and J.D. Vergara, Gauge invariance of the action principle for gauge systems with noncanonical symplectic structures, Phys. Rev. D 76, 025025 (2007) download
  15. M. Montesinos and G.F. Torres del Castillo, Reply to Comment on Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty, Phys. Rev. A 75, 066102 (2007) download
  16. M. Montesinos, Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories, Class. Quantum Grav. 23, 2267 (2006) download
  17. M. Mondragón and M. Montesinos, Covariant canonical formalism for four-dimensional BF theory, J. Math. Phys. 47, 022301 (2006) download


Supervised Ph.D. Theses:

  1. Miguel Ángel García Ariza, Ph.D., Benemérita Universidad Autónoma de Puebla (BUAP), in progress
  2. Bogar Díaz Jiménez, Ph.D., Benemérita Universidad Autónoma de Puebla (BUAP), in progress
  3. Mariano Alexander Celada Martínez, Ph.D., Cinvestav, in progress
  4. Diego Giovanni González Vallejo, Ph.D., Cinvestav, in progress
  5. Mercedes Paulina Velázquez Quesada, BF gravity, matter couplings, and related theories, Ph.D., Cinvestav, 2011 (2012 Weizmann Prize for the Best Ph.D. Thesis in Exact Sciences)
  6. Arturo Alejandro Gallardo Lozada, Dinámicas de bulto y de frontera, Ph.D., Cinvestav, 2011
  7. Vladimir Cuesta Sánchez, Algunas aplicaciones de la geometría simpléctica en la física matemática, Ph.D., Cinvestav, 2007

Supervised M.Sc. Theses:

  1. Jorge Luis Romero Guerra, M.Sc., Cinvestav, 2014
  2. Alberto Efraín Morales Avelino, M.Sc., Cinvestav, 2014
  3. Vicente Vargas García, M.Sc., Cinvestav, 2014
  4. Jorge Humberto Felipe Matías, M.Sc., Cinvestav, 2014
  5. Daniel Fernando Higuita Borja, Lagrangian approach to the physical degree of freedom count, M.Sc., Cinvestav, 2012
  6. Diego Giovanni González Vallejo, Gravedad de 2-formas, M.Sc., Cinvestav, 2011
  7. Mariano Alexander Celada Martínez, Análisis hamiltoniano de gravedad a la BF, M.Sc., Cinvestav, 2011
  8. Ricardo Magaña Villalba, Análisis hamiltoniano del término agregado por Holst a la lagrangiana de Palatini, M.Sc., Cinvestav, 2007
  9. Arturo Alejandro Gallardo Lozada, Condiciones de frontera en el formalismo hamiltoniano à la Dirac, M.Sc., Cinvestav, 2006
  10. Aldo Aparicio Martínez Merino, Teoría de Hamilton-Jacobi para sistemas hamiltonianos genuinamente covariantes, M.Sc., Cinvestav, 2005
  11. Vladimir Cuesta Sánchez, Conexiones planas en relatividad general, M.Sc., Cinvestav, 2004
  12. Mauricio Javier Mondragón López, Formalismo canónico covariante de teorías BF en cuatro dimensiones y sistemas parametrizados con un número finito de grados de libertad, M.Sc., Cinvestav, 2003

Supervised B.Sc. Theses:

  1. Alberto Efraín Morales Avelino, Dinámica de la partícula libre relativista, B.Sc., Universidad Autónoma Benito Juárez de Oaxaca (UABJO), 2014
  2. Benito Alberto Juárez Aubry, Scalar field coupling to BF gravity, B.Sc., Universidad de las Américas Puebla (UDLAP), 2011
  3. Ernesto Flores González, Tensor de energía-momentum simétrico sin usar el método de simetrización de Belinfante, B.Sc., Universidad Veracruzana, 2006